The Elements of Plane and Spherical Trigonometry: With the Construction and Use of Tables of Logarithms |
Common terms and phrases
A+B+C AC AC Area Asin base circular measure cos A sin cos² cos³ cosec Cosines decimal determined Diff difference digits equal equation error formula formulæ Goniometrical Ratios greater Hence horizontal increment inscribed L sin last Article less magnitude Mantissa nearly negative number of degrees number of seconds observed angles perpendicular plane triangle pole positive integer proved quadrant radii radius regular polygon Regular Polyhedron respectively right angles right-angled triangle sec² Secant shew shewn Similarly sin A sin sin² sin³ Sines and Cosines small circle solid angle sphere Spherical Excess spherical triangle SPHERICAL TRIGONOMETRY straight line subtended tan-¹ tan² tan³ tangents triangle ABC TRIGONOMETRY Versin Whence Wherefore X'OX
Popular passages
Page 87 - Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number.
Page 166 - Any two sides of a spherical triangle are together greater than the third, and the sum of the three sides is less than the circumference of a great circle.
Page 34 - Mathematics which treats of the solution of plane triangles. In every plane triangle there are six parts : three sides and three angles. When three of these parts are given, one being a side, the remaining parts may be found by computation. The operation of finding the unknown parts is called the solution of the triangle.
Page 143 - A person observes the elevation of a tower to be 60", and on receding from it 100 yards further he finds the elevation to be 30"; required the height of the tower.
Page 144 - The angular elevation of a tower at a place A due south of it is 30° ; and at a place B due west of A, and at a distance a from it, the elevation is 18°...
Page 35 - ... the three interior angles of' a triangle are together equal to two right angles.
Page 168 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Page 161 - BC, or side a, is used, the angle subtended at the center of the sphere by the arc BC which is opposite to the spherical angle A, is invariably meant.
Page 180 - ... and the complements of the other angles are called the circular parts of the triangle. Thus there are five circular parts...